Free Descriptive Statistics MCQs with Answers

238 Descriptive Statistics MCQs from Statistics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Last updated

238 questions · page 2 of 24

11. Single numerical fact is called________?

Moderate
  • A. Point
  • B. Data
  • C. Datum
  • D. Statistic

Explanation: A single numerical observation is called a datum, while data is the plural term for a collection of observations. A statistic is a numerical measure calculated from sample data.

Correct answer: Datum

12. The collection of numerical facts is called_________?

Moderate
  • A. Data
  • B. Datum
  • C. Statistic
  • D. Raw

Explanation: Data is the plural term for a collection of numerical facts or observations. Datum refers to only one numerical fact, so it is not suitable here.

Correct answer: Data

13. When there is 0 in our dataset which mean we cannot calculate?

Moderate
  • A. GM
  • B. HM
  • C. AM
  • D. Both A and B

Explanation: A zero makes the geometric mean zero and makes the harmonic mean undefined because it requires reciprocals of the observations. The arithmetic mean can still be calculated, so both GM and HM are affected.

Correct answer: Both A and B

14. Founder of statistics is_________?

Moderate
  • A. R A Fisher
  • B. Smith
  • C. Karl pearson
  • D. Neyman

Explanation: Karl Pearson is commonly credited as a founder of modern mathematical statistics and established major methods in correlation, regression, and statistical testing. The other listed figures are important statisticians but are not usually given this title.

Correct answer: Karl pearson

15. Which mean is most effected by extreme values?

Moderate
  • A. GM
  • B. AM
  • C. HM
  • D. Median

Explanation: The arithmetic mean uses every observation, so an unusually large or small value directly pulls it toward the extreme. The median is much less affected, while GM and HM are not the intended general answer here.

Correct answer: AM

16. Given X1=12,X2=19,X3=10,X4=7, then summation of X equals?

Moderate
  • A. 36
  • B. 48
  • C. 41
  • D. None of these

Explanation: Add the four observations: 12 + 19 + 10 + 7 = 48. Thus, ΣX represents the total of all listed X-values, not their mean.

Correct answer: 48

17. For a given class 30-44 the midpoint will be ________________?

Moderate
  • A. 30
  • B. 34
  • C. 37
  • D. 35

Explanation: The class midpoint is found by averaging the two class limits: (30 + 44) / 2 = 37. It represents the central value used when plotting or summarising the class.

Correct answer: 37

18. When in a frequency distribution the maximum frequency occur at one end, then the frequency curve of such distribution is ________________?

Moderate
  • A. J- shaped
  • B. U- shaped
  • C. Bell- shaped
  • D. V- shaped

Explanation: When frequencies rise toward one end of the distribution, the plotted curve has a J shape, or a reverse-J shape depending on the direction. A U shape has high frequencies at both ends, not just one.

Correct answer: J- shaped

19. The graph obtained by joining the mid points of the tops of adjacent rectangles in histogram is called ______________?

Moderate
  • A. Frequency polgon
  • B. Ogive
  • C. Pie chart
  • D. Histgram

Explanation: Joining the midpoints of the tops of adjacent histogram rectangles produces a frequency polygon. An ogive instead joins cumulative frequencies, so it is not the correct graph here.

Correct answer: Frequency polgon

20. Class mark is the value which divides a class into ________ equal parts?

Moderate
  • A. Four
  • B. One
  • C. Three
  • D. Two

Explanation: The class mark is the midpoint, calculated as (lower limit + upper limit) ÷ 2. It therefore divides a class interval into two equal parts.

Correct answer: Two